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A155637
10^n+5^n-1.
15
1, 14, 124, 1124, 10624, 103124, 1015624, 10078124, 100390624, 1001953124, 10009765624, 100048828124, 1000244140624, 10001220703124, 100006103515624, 1000030517578124, 10000152587890624, 100000762939453124
OFFSET
0,2
FORMULA
G.f.: 1/(1-10*x)+1/(1-5*x)-1/(1-x). E.g.f.: e^(10*x)+e^(5*x)-e^x.
a(n)=15*a(n-1)-50*a(n-2)-36 with a(0)=1, a(1)=14 - Vincenzo Librandi, Jul 21 2010
a(0)=1, a(1)=14, a(2)=124, a(n)=16*a(n-1)-65*a(n-2)+50*a(n-3) [From Harvey P. Dale, Oct 17 2011]
MAPLE
A155637:=n->10^n+5^n-1; seq(A155637(n), n=0..20); # Wesley Ivan Hurt, Feb 02 2014
MATHEMATICA
Table[10^n+5^n-1, {n, 0, 20}] (* or *) LinearRecurrence[{16, -65, 50}, {1, 14, 124}, 20] (* Harvey P. Dale, Oct 17 2011 *)
PROG
(PARI) a(n)=10^n+5^n-1 \\ Charles R Greathouse IV, Jun 11 2015
KEYWORD
nonn,easy
AUTHOR
Mohammad K. Azarian, Jan 30 2009
STATUS
approved